Last Updated:2025/12/04
Sentence

基底体K上の有限次元の中心単純代数は、係数体をKの代数的閉包に拡大すると行列環に同型になります。

Quizzes for review

Every finite-dimensional central simple algebra over a field K becomes isomorphic to a matrix algebra after extending scalars to an algebraic closure of K.

See correct answer

Every finite-dimensional central simple algebra over a field K becomes isomorphic to a matrix algebra after extending scalars to an algebraic closure of K.

音声機能が動作しない場合はこちらをご確認ください

Related words

central simple algebra

Noun
Japanese Meaning
ある体 K 上の有限次元な結合代数で、単純代数(非自明な二重イデアルを持たない代数)であり、その中心がちょうど K であるもの。
What is this buttons?

基底体K上の有限次元の中心単純代数は、係数体をKの代数的閉包に拡大すると行列環に同型になります。

Related Words

plural

English - English

Word Edit Setting
  • Users who have edit permission for words - All Users
  • Screen new word creation
  • Screen word edits
  • Screen word deletion
  • Screen the creation of new headword that may be duplicates
  • Screen changing entry name
  • Users authorized to vote on judging - Editor
  • Number of votes required for decision - 1
Sentence Edit Setting
  • Users who have edit permission for sentences - All Users
  • Screen sentence deletion
  • Users authorized to vote on judging - Editor
  • Number of votes required for decision - 1
Quiz Edit Setting
  • Users who have edit permission for quizzes - All Users
  • Users authorized to vote on judging - Editor
  • Number of votes required for decision - 1
Editing Guideline

Login / Sign up

 

Download the app!
DiQt

DiQt

Free

★★★★★★★★★★